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Finding the Fourth Proportional to 22,004.39, 33,009.12 and 7,971.01

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Solution

The fourth proportional to 22,004.39, 33,009.12 and 7,971.01 is: 11,957.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,004.39 : 33,009.12 = 7,971.01 : x
  2. Step 2: Convert to fraction form
    22,004.39/33,009.12 = 7,971.01/x
  3. Step 3: Cross multiply
    22,004.39x = 33,009.12 × 7,971.01
  4. Step 4: Simplify right side
    22,004.39x = 263,115,943.09
  5. Step 5: Solve for x
    x = 263,115,943.09/22,004.39
  6. Step 6: Final answer
    x = 11,957.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.